Chapter 9: Vector Differential Calculus 1 9.1. Vector Functions of One Variable -- a vector, each component of which is a function of the same variable.

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Presentation on theme: "Chapter 9: Vector Differential Calculus 1 9.1. Vector Functions of One Variable -- a vector, each component of which is a function of the same variable."— Presentation transcript:

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29 。 A vector filed is continuous if each of its component functions is continuous. 。 A partial derivative of a vector field -- the vector fields obtained by taking the partial derivative of each component function e.g.,

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30 ◎ Definition 9.7: Streamlines F: vector field defined in some 3-D region Ω  : a set of curves with the property that through each point P of Ω, there passes exactly one curve from  The curves in  are streamlines of F if at each point in Ω, F curve in  passing through is tangent to the